768517632 has 280 divisors, whose sum is σ = 2415180240. Its totient is φ = 243855360.

The previous prime is 768517627. The next prime is 768517693. The reversal of 768517632 is 236715867.

768517632 is a `hidden beast` number, since 7 + 6 + 8 + 5 + 1 + 7 + 632 = 666.

Its product of digits (423360) is a multiple of the sum of its prime divisors (105).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 10824157 + ... + 10824227.

Almost surely, 2^768517632 is an apocalyptic number.

768517632 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 768517632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1207590120).

768517632 is an abundant number, since it is smaller than the sum of its proper divisors (1646662608).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

768517632 is an frugal number, since it uses more digits than its factorization.

768517632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 105 counting only the distinct ones).

The product of its digits is 423360, while the sum is 45.

The square root of 768517632 is about 27722.1505659283. The cubic root of 768517632 is about 915.9770911428.

It can be divided in two parts, 768 and 517632, that added together give a square (518400 = 720²).

The spelling of 768517632 in words is "seven hundred sixty-eight million, five hundred seventeen thousand, six hundred thirty-two".